Let X be a point in the interior of triangle PQR.
Let a line through X intersect rays QP and QR in points A and B respectively.
Let Y be the point on line segment AB such that |BY| = |AX|.

Prove that |AB| is a minimum if and only if AB is perpendicular to QY.

A minimum what?  I am unfamiliar with the manner is which the term is being applied here, and thus I do not understand that which is being sought.

Posted by Dej Mar on 2007-05-10 07:40:57